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Question 1 of 5: Find f(-5):
$$f(x)=\begin{cases}-2x+3, & \text{if}\hspace{.2em}x ≤ 0 \\ x^2 - 1, & \text{if}\hspace{.2em}x > 0 \end{cases}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(-5)=-13$$
B
$$f(-5)=24$$
C
$$f(-5)=2$$
D
$$f(-5)=13$$
E
$$f(-5)=-5$$
Question 2 of 5: Find f(0):
$$f(x)=\begin{cases}x^3 - 1, & \text{if}\hspace{.2em}x ≤ -3 \\ 1, & \text{if}\hspace{.2em}-3 < x ≤ 3 \\ -x, & \text{if}\hspace{.2em}x > 3 \end{cases}$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(0)=-1$$
B
$$f(0)=0$$
C
$$f(0)=-2$$
D
undefined
E
$$f(0)=1$$
Question 3 of 5: Find f(-2.7):
$$f(x)=[x]$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(-2.7)=-2$$
B
$$f(-2.7)=2$$
C
$$f(-2.7)=-3$$
D
$$f(-2.7)=-1$$
E
undefined
Question 4 of 5: Find the Piecewise-Defined Function:
Piecewise-Defined function
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(x)=\begin{cases}\sqrt{x}, & \text{if}\hspace{.2em}x ≥ 0 \\ \frac{3}{2}x - 3, & \text{if}\hspace{.2em}x < 0 \end{cases}$$
B
$$f(x)=\begin{cases}x^2, & \text{if}\hspace{.2em}x ≥ 0 \\ -2x - 3, & \text{if}\hspace{.2em}x < 0 \end{cases}$$
C
$$f(x)=\begin{cases}\sqrt{x}, & \text{if}\hspace{.2em}x > 0 \\ -\frac{3}{2}x - 3, & \text{if}\hspace{.2em}x ≤ 0 \end{cases}$$
D
$$f(x)=\begin{cases}x^2, & \text{if}\hspace{.2em}x ≥ 0 \\ x - \frac{3}{2}, & \text{if}\hspace{.2em}x < 0 \end{cases}$$
E
$$f(x)=\begin{cases}2x^2, & \text{if}\hspace{.2em}x > 0 \\ \text{undefined,}& \text{if}\hspace{.2em}x=0 \\x^2 - 1, & \text{if}\hspace{.2em}x > 0 \end{cases}$$
Question 5 of 5: Find the Piecewise-Defined Function:
Piecewise-Defined Function
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Cool Emoji
A
$$f(x)=\begin{cases}x, & \text{if}\hspace{.2em}x > 0 \\ 1, & \text{if}\hspace{.2em}-2 < x < 0 \\-x, & \text{if}\hspace{.2em}x < -2 \end{cases}$$
B
$$f(x)=\begin{cases}2x, & \text{if}\hspace{.2em}x ≥ 0 \\ 1, & \text{if}\hspace{.2em}-2x < x < 0 \\-x, & \text{if}\hspace{.2em}x > 0 \end{cases}$$
C
$$f(x)=\begin{cases}x, & \text{if}\hspace{.2em}x ≥ 0 \\ 1, & \text{if}\hspace{.2em}-2 < x < 0 \\-x, & \text{if}\hspace{.2em}x ≤ -2 \end{cases}$$
D
$$f(x)=\begin{cases}2x + 1, & \text{if}\hspace{.2em}x > 0 \\ \text{x,}& \text{if}\hspace{.2em}-2 < x < 0 \\-2x, & \text{if}\hspace{.2em}x < 0 \end{cases}$$
E
$$f(x)=\begin{cases}x^2, & \text{if}\hspace{.2em}x ≥ 0 \\ \text{x,}& \text{if}\hspace{.2em}-2 < x < 0 \\-2x, & \text{if}\hspace{.2em}x < 0 \end{cases}$$

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